write in algebraic expression the difference between a number m and the product of m and n. If you can help it would mean a lot

Answer:

Option 4, BC = 12.689, m∠A = 58°, and m∠C = 32°

Hope this helps!

Answer:

If in rectangular coordinates we have a point (x, y), then the angle defined between the x-axis and a ray that connects the point with the origin is defined by:

Tan(θ) = y/x

Cos(θ) = x/(√(x^2 + y^2))

Sin(θ) = y/(√(x^2 + y^2))

Ctg(θ) = x/y

Sec(θ) = √(x^2 + y^2)/x

Csc(θ) = √(x^2 + y^2)/y

Ok, now we have all the equations.

We know that:

Sec(C) = 30/24

Then:

√(x^2 + y^2) = 30

x = 24

Replacing x in the first equation we get:

√(24^2 + y^2) = 30

y = √(30^2 - 24^2) = 18

Then we have:

x = 24

y = 18

√(x^2 + y^2) = 30

So we can just replace these in the equations:

Tan(C) = y/x = 18/24

Cos(C) = x/(√(x^2 + y^2)) = 24/30

Sin(C) = y/(√(x^2 + y^2)) = 18/30

Ctg(θ) = x/y = 24/18

Sec(θ) = √(x^2 + y^2)/x = 30/24

Csc(θ) = √(x^2 + y^2)/y = 30/18

Step-by-step explanation:

Perimeter of EFGH=2.5+1.5+4+2

=10

=

Answer:

1.) 3833.8

2.) (3428.81 ; 4238.79)

Step-by-step explanation:

1.)

Point estimate of the salary for student with GPA of 3.

Using the regression model given :

Y = 2090.5 + 581.1x

x = 3

Y = 2090.5 + 581.1(3)

= 3833.8

2.)

95% confidence interval :

Y ± Tcritical * √MSE

Y = point estimate at x =3 ; = 3833.8

MSE = 21,284

Tcritical at 95% ; df = n-2 = 6-2 = 4

Tcritical(0.025 ; 4) = 2.776

√MSE = √21284 = 145.89036

Lower boundary : 3833.8 - 2.776(145.89036) = 3428.81

Upper boundary : 3833.8 + 2.776(145.89036) = 4238.79

(3428.81 ; 4238.79)

Answer:

530!

Step-by-step explanation:

subtract the biggest value and the lowest value

Answer:

530

Step-by-step explanation:

Order the numbers from least to greatest, get the biggest and the lowest number and subtract both and then you find the range.

340,400,400,870

870-340= 530

Answer:

14

Step-by-step explanation:

Given

See attachment for proper stem plots for both district

Required

The sample size for Southeastern

The stem plot for southeastern is:

[tex]Stem | Leaf[/tex]

[tex]0 | 5\ 5\ 7\ 8[/tex]

[tex]1 | 1\ 2\ 3\ 5\ 9\ 9[/tex]

[tex]2 |2\ 7[/tex]

[tex]3 | 3[/tex]

[tex]4 | 1[/tex]

[tex]5 |[/tex]

To get the sample size, we simply count the leaves

The leaves are:

[tex]Leaves = \{5, 5, 7, 8, 1, 2, 3, 5, 9 ,9,2,7,3,1\}[/tex]

The number of leaves is:

[tex]n(Leaves) = 14[/tex]

Hence, the sample size is 14

Answer:

D. Yes, because it passes the vertical line test

Step-by-step explanation:

Answer: 37m

Step-by-step explanation:

Convert 300cm into m = 3m

6 + 6 + 3 + 3 + 3.5 + 3.5 + 12 = 37m

Answer:

172,600

Step-by-step explanation:

hii so basically the mean is the same as average so add all together and divide by how many prices in this case there originally were

so 181,000+187,000+144,000+176,000+175,000=863,000

then divide by 5

863,000/5=172,600

hope this helped !

9514 1404 393

Answer:

  392 ft

Step-by-step explanation:

As in the attached figure, you seem to have sides b and c of the triangle, along with angle C. You want to find side 'a'. The law of sines can be used to find angle B, then angle A can be found from the sum of angles. Knowing angle A, we can find side 'a'.

  sin(B)/b = sin(C)/c

  sin(B) = (b/c)sin(C) = 400/550·sin(88°)

  B = arcsin(8/11·sin(88°)) ≈ 46.621°

Then angle A = ...

  A = 180° - B - C = 180° -46.621° -88° = 45.379°

Now, we can find side 'a' from ...

  a/sin(A) = c/sin(C)

  a = c·sin(A)/sin(C) ≈ 550·sin(45.379°)/sin(88°) ≈ 391.710 . . . feet

The unknown side of the triangle is about 392 feet.

Answer:

Step-by-step explanation:

Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.

Answer:

8422

Step-by-step explanation:

Answer:

H0: μ ≤ 1.30

H1: μ > 1.30

|Test statistic | > 1.833 ; Reject H0

Test statistic = 3.11

Yes

Pvalue = 0.006

Step-by-step explanation:

H0: μ ≤ 1.30

H1: μ > 1.30

Samples, X ; 1.36,1.35,1.33, 1.66, 1.58, 1.32, 1.38, 1.42, 1.90, 1.54

Xbar = 14.84 / 10 = 1.484

Standard deviation, s = 0.187 (calculator)

Decison rule :

|Test statistic | > TCritical ; reject H0

df = n - 1 = 10 - 1 = 9

Tcritical(0.05; 9) = 1.833

|Test statistic | > 1.833 ; Reject H0

Test statistic :

(xbar - μ) ÷ (s/√(n))

(1.484 - 1.30) ÷ (0.187/√(10))

0.184 / 0.0591345

Test statistic = 3.11

Since ;

|Test statistic | > TCritical ; We reject H0 and conclude that water consumption has increased

Pvalue estimate using the Pvalue calculator :

Pvalue = 0.006

Answer:

Hence, the answer is [tex]x>71.1515[/tex]

Step-by-step explanation:

We have,

[tex]n=100,\mu=70,\sigma=7[/tex]

The top percentage of the students is [tex]5\%[/tex]

The  lower percentage of the students is [tex]95\%[/tex]

The lowest [tex]95\%[/tex] is the left area from the normal distribution table, the area [tex]0.95[/tex] lies in the z-table

[tex]z=1.645[/tex]       from the z- table

[tex]P(z<1.645)=0.95\\P(z>1.645)=0.05\\z>1.645[/tex]

[tex]\frac{x-\mu}{\frac{\sigma}{\sqrt{\mu}} } >1.645\\x>1.645\times \frac{\sigma}{\sqrt{n}} +\mu[/tex]

   [tex]>1.645\times \frac{7}{\sqrt{100}} +70[/tex]

   [tex]\Rightarrow x>71.1515[/tex]

Answer:

Perimeter = 9 . 4=36 ft

lateral area=(perimeter . slant height) / 2 = (36 . 12) /2 = 216 sq ft

area of the base=9*9=81 sq ft

Surface area = LA+BA = 216 + 81 = 297 sq ft

Answer:

5. 2√6

6. 4

Step-by-step explanation:

5. x =√[3×(3+5] = √3×8 =√24=2√6

6. x(x+5)=6²

x²+5x=36

x²+5x-36=0

(x+9)(x-4) =0

x=-9 or x=4

Answer:

Last Option; 84 cu. mm

Step-by-step explanation:

We know that;

Volume = 1/3(Bh)

And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36

And height = 7mm

Therefore we can say;

Volume = (1/3)*(6 x 6)*(7)

Volume = (1/3)*(36)*(7)

Volume = (12)*(7)

Volume = 84

Hope this helps!

Answer:

A

Step-by-step explanation:

Given p² varies inversely as q then the equation relating them is

p² = [tex]\frac{k}{q}[/tex] ← k is the constant of variation

To find use the condition when q = 6, p = 4 , then

4² = [tex]\frac{k}{6}[/tex]

16 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )

96 = k

p² = [tex]\frac{96}{q}[/tex] ← equation of variation

When p = 12 , then

12² = [tex]\frac{96}{q}[/tex] ( multiply both sides by q )

144q = 96 ( divide both sides by 144 )

q = [tex]\frac{96}{144}[/tex] = [tex]\frac{2}{3}[/tex] → A

Answer:

1/2, 2/4

Step-by-step explanation:

4/8 = (2/4) =1/2 (if you divide up and down by the same number)

so 4/8 = 1/2

next, let's simplify the choices we have:  (1/5) (2/6) (1/4) (1/2) (2/4)

1/5 is already simplified

2/6 = 1/3

1/4 is already simplified

1/2 is already simplified

2/4 = 1/2

Which of these is equal to 4/8 (aka 1/2)?

Answer: 1/2 and 2/4

Answer:

x= -7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-19x+32=-24x-3

-19x+24x=-3-32

5x=-35

X=-35/5= -7

Answer:

parallelogram

Step-by-step explanation:

opposite sides are parallel and equal

Answer:

Scalene,right angled triangle

Hope it helps

Answer:

1 kg = 1000 grams

15,000 grams = 15kg

Answer:

c

Step-by-step explanation:

Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

So C would be the most accurate statement

please give brainiest

The area of the given region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units. So, all the options satisfy the value of a and b except (7, -9).

Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.

Then summing all those pieces' area gives us the area of the main big region.

The area of the given region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.

f(x) is a linear function, the area under the curve on the interval [0,4] is a trapezoid with a height of 4 and bases of lengths f(0) and f(4).

The area of a trapezoid is the height times the average of the bases.

a. f(x)=-2x+8  f(0)=8, f(4)=0;

   area = 4(8/2) = 16

b. f(x)=x+2; f(0)=2, f(4)=6;

   area = 4(8/2) = 16

c. f(x)=3x-2; f(0)=-2, f(4)=10;

    area = 4(8/2) = 16

d. f(x)=5x-6; f(0)=-6, f(4)=14;

    area = 4(8/2) = 16

e. f(x)=7x-9; f(0)=-9, f(4)=19;

     area = 4(10/2) = 20

Thus, The area is NOT 16 for choice e.

Learn more about Area here:

https://brainly.com/question/13056790

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